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42151340 = 225711101271
BaseRepresentation
bin1010000011001…
…0110110101100
32221022111202202
42200302312230
541242320330
64103241032
71021165130
oct240626654
987274682
1042151340
112187aa20
1212149178
13896ab2a
1458533c0
153a79445
hex2832dac

42151340 has 96 divisors (see below), whose sum is σ = 111863808. Its totient is φ = 12960000.

The previous prime is 42151337. The next prime is 42151349. The reversal of 42151340 is 4315124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42151349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155405 + ... + 155675.

It is an arithmetic number, because the mean of its divisors is an integer number (1165248).

Almost surely, 242151340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55931904).

42151340 is an abundant number, since it is smaller than the sum of its proper divisors (69712468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42151340 is a wasteful number, since it uses less digits than its factorization.

42151340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42151340 is about 6492.4063335561. The cubic root of 42151340 is about 348.0196734375.

Adding to 42151340 its reverse (4315124), we get a palindrome (46466464).

It can be divided in two parts, 4215 and 1340, that added together give a palindrome (5555).

The spelling of 42151340 in words is "forty-two million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 271 308 385 404 505 542 707 770 1010 1084 1111 1355 1414 1540 1897 2020 2222 2710 2828 2981 3535 3794 4444 5420 5555 5962 7070 7588 7777 9485 11110 11924 14140 14905 15554 18970 20867 22220 27371 29810 31108 37940 38885 41734 54742 59620 77770 83468 104335 109484 136855 155540 191597 208670 273710 301081 383194 417340 547420 602162 766388 957985 1204324 1505405 1915970 2107567 3010810 3831940 4215134 6021620 8430268 10537835 21075670 42151340